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Finding the Fourth Proportional to 8,419.68, 12,629.59 and 3,738.44

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Solution

The fourth proportional to 8,419.68, 12,629.59 and 3,738.44 is: 5,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.68 : 12,629.59 = 3,738.44 : x
  2. Step 2: Convert to fraction form
    8,419.68/12,629.59 = 3,738.44/x
  3. Step 3: Cross multiply
    8,419.68x = 12,629.59 × 3,738.44
  4. Step 4: Simplify right side
    8,419.68x = 47,214,915.63
  5. Step 5: Solve for x
    x = 47,214,915.63/8,419.68
  6. Step 6: Final answer
    x = 5,607.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.